# data[].attributes.body
You can use math to create art?
Yes! Mathematics can be a tool to produce creative designs.
Throughout the course we used functions and formulas and combined them with elements of art and design to assemble our portafolio.

# data[].attributes.body
As we started our journey, I personally was confused and my mind was blank. If I didn't know what was the formula to create a square how would I create art that actually looked good?

# data[].attributes.body
Now that I look back I can see how far I came and how important the process of familiarizing myself with shapes and making mistakes was, from doodling basic shapes to making exactly what I wanted to do

# data[].attributes.body
We started familiarizing ourselves with what was a function?
an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) and then we learnt about linear/ parent functions what were they?  how can we translate this information into making art?

# data[].attributes.body
As practice for our first project, we started creating shapes and understanding the process behind formulas and how to get them to translate, dilate and compress in the ways we wanted them to.. we were asked to create five drafts

# data[].attributes.headline
The DNA where everything started-Draft 1

# data[].attributes.subject
The DNA where everything started-Draft 1

# data[].attributes.body
At first, I was very confused. I didn't know how a function could give me a graph like this one.
Which it's also when I understood the importance of desmos, and exploring through this graphing calculator. The importance of compressing, dilating and translating the function until you understood exactly why it was doing was it was doing, it really helped me that I could go at my own pace.

# data[].attributes.body
Here I decide to experiment with the colors and started to work on my background, which ended up being my favorite part at the end. I learnt that there were many more color options that I could use and many more tools which could help me create depth and highlight my background

# data[].attributes.body
This looked like a tater tot, but I was happy because as I was researching formulas I came up with this. I realized mistakes can often make the best art and It gave me the opportunity to truly understand how I came with this "tater tot" and how by using the techniques that I had learnt I could move it and create different shapes

# data[].attributes.body
I started playing with the lines and circles to see how I could incorporate the elements of art to give it more depth and seeing how I could use the elements provided by desmos(dotted lines, circle lines) to make my art more detailed , as a result of my previous draft I had some knowledge of shape, form and functions and it led me to understand that every draft was a learning experience and I could experiment with each, make mistakes and get something I wasn't expecting that made me happy

# data[].attributes.headline
Shapes I was interested In: Polar Rose, Flowers

# data[].attributes.subject
Shapes I was interested In: Polar Rose, Flowers

# data[].attributes.body
I really wanted to create something from nature, and I was excited to see that I could keep experimenting with different shapes and forms to create flowers by using a simple shape like a circle but taking it to the next level

# data[].attributes.body
I finally got to a shape that looked a lot like the flower I wanted, the funny thing is that the way to do this was in front of my eyes the whole time. I just needed to work with my tools to turn the circle into a more oval shape.. I also discovered how to highlight inside of a shape, after that I decided that I would do a flower for my first project

# data[].attributes.body
I really learnt a lot about dimension and movement with this piece but I wanted to see if I could take what I had learnt and do something a little more complex. In this image I really focused on making the details the focus of the piece, with the use of line and shape but also how I could use the same formula in different dimensions to give the flower a sense of fullness and depth

# data[].attributes.body
Of course I had a clear idea in mind, but It ended up being harder than what I thought. Desmos isn't paper but it's equally interactive with your ideas, a lot of shifts later I got a shape that resembled what I wanted

# data[].attributes.headline
Draft project 1- A butterfly in the making

# data[].attributes.subject
Draft project 1- A butterfly in the making

# data[].attributes.body
I experimented a lot with the shapes as I mentioned before now I knew that it was a matter of consistency and identifying my flaws in order to understand what needed further improvement

# data[].attributes.body
So I decided to play around with the colors and I got something I was really happy about!
The inspiration for this project came from change, butterflies show us that change is something beautiful and what a better way to showcase this process of learning to use math in art than with a butterfly

# data[].attributes.body
They are a type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable. More than one parameter can be employed when necessary.
This opened once again a lot of new formulas and equations that we could incorporate into our art, my favorite was the list of fifty famous curves.

# data[].attributes.body
We started learning and exploring the results we could get with this equations, what was different from our previous process? how we could apply what we had learnt with these new equations? these were questions that arouse during the lecture

# data[].attributes.headline
I started practicing with the fifty famous curves and the new colors on desmos that we learnt to get by using inspect

# data[].attributes.subject
I started practicing with the fifty famous curves and the new colors on desmos that we learnt to get by using inspect

# data[].attributes.body
I believe what really helped me through this process was how the professor was always telling us to play around and familiarize ourselves with desmos. Desmos blank isn't the same as a blank piece of paper, you type anything and you get something in return which for me were always little clues and incentives to see where I could get if I just kept using my functions.

# data[].attributes.headline
Shapes that we could start to develop.. focusing on rotations and transformations

# data[].attributes.subject
Shapes that we could start to develop.. focusing on rotations and transformations

# data[].attributes.body
During this lesson we familiarized more in rotations and how to make a shape fill completely another one.

# data[].attributes.body
As I mentioned before the 50 famous curves was a great way to get more technical inspiration and with the techniques that we had previously learnt it didn't make me feel like I was back at point 0 where I started but that now I had a clear understanding of what I wanted to transmit with my art and how I could use the new functions to do so

# data[].attributes.body
Everyone knows the formula for a circle but I think few people have ever imagined that from that single shape so many others can be derived.
I also wanted to start working on my color scheme making sure I got an aesthetic finish

# data[].attributes.headline
I always wanted to do a heart so I started to focus on shapes that I could use to complement my plan

# data[].attributes.subject
I always wanted to do a heart so I started to focus on shapes that I could use to complement my plan

# data[].attributes.body
Cayley's Sextic and Cochleoid were the curves that I used to guide myself in this process

# data[].attributes.body
When thinking about what I wanted to create for project 2 I was really inspired by this particular color scheme and the shapes, texture and depth represented. This project was when I was going to incorporate even more artistic elements and principles of which I already had a better undersatnding

# data[].attributes.body
I think one of my favorite parts of creating artwork for this class was that there were no rules but also desmos was always there to help you if needed, if a formula was incorrect you could always go back and figure out what was wrong and take the time to understand what areas you needed to grasp more. It was not a process of putting random formulas and see how they worked together but understand why if you placed x the result would be y and that made it even more insteresting

# data[].attributes.body
In this draft, I could focus on the specifics. How movement away from the center creates a wavy effect and you can see every detail and texture developing into further little shapes

# data[].attributes.body
Another amazing thing that we learnt how to do in this class was to create moving GIF's by using gifmos, It allows to get more creative shots of the images that you've already made

# data[].attributes.headline
A zoom out of Draft 1 with some details added

# data[].attributes.subject
A zoom out of Draft 1 with some details added

# data[].attributes.body
Its amazing how you can get different shapes by zooming in or zooming out

# data[].attributes.body
This was my original inspiration for project 2, And looking back into it I incorporated many factors from it. I intensified everything, transformed the flower into the second shape and focused on the rotations and transformations of the inner heart of the shape

# data[].attributes.body
Desmos it's an amazing tool because every time you zoom in you can highlight details and modify them as you go, check what you want to include in future creations and use it as reference.

# data[].attributes.body
I added a heart in the middle and finalized project 2 by mixing flowers, background depth, dimension and aesthetic color scheme
As I was finalizing the project I realized that there was something missing, after considering I realized that I had to make some changes, focus more on making what was vague specific, modifying the parameters and making sure it was cohesive and clear. I had to switch stuff around so that there wasn't discordance. I wanted to bring too many ideas to my piece that the main idea got lost so I changed that by sticking to one idea

# data[].attributes.body
Like I mentioned before, one of my favorite parts of creating the artwork was creating a background that was equally as cool as the artwork that would be on it, by using different color schemes, the properties to highlight certain areas or to change the shape of the lines. Even something as simple as compressing or dilating really made the difference on the background

# data[].attributes.body
The amazing thing about math art it's that nothing is set, there's always room for changes and improvements and even to create new shapes

# data[].attributes.headline
Self Progression as an artist and mathematician

# data[].attributes.subject
Self Progression as an artist and mathematician

# data[].attributes.body
I went from an eye, to a flower in 2 seconds! very flexible, it allows you to be creative without limits.
And just like that I went from not knowing how to do a circle to completing this amazing artwork
I learnt a lot in this class, and now I know things that I didn't knew were possible before, I gained a new skill and it's only going to keep improving from now on. I now understand the reaction each function has in the other and I've become familiar with ways in which you can use them to create the artwork you desire

# data[].attributes.headline
Self Progression as a Programmer; The circus eye

# data[].attributes.subject
Self Progression as a Programmer; The circus eye

# data[].attributes.body
For my last piece I decided to play around with the colors and highlight the shapes so that It looked more like an eye. As a programmer I learnt how to create more complex shapes or used a simple shape that I've know my whole life and took it to the next level.

# data[].attributes.body
I understood that math and art are completely correlated, shapes that we used such as a circle to create someones face in a piece of paper are things that could be translated to a digital calculator. The difference comes that with every trace you do unconsciously in a piece of paper, you have to be completely conscious in a desmos graph because you need to understand that everything plays a role in your final product.
I would tell myself at the beginning of the semester that I would get the hang of it and I didn't need to stress if at the beginning things were not going as planned, I would get better.